A Solution of the Mixed Boundary Value Problem for an Infinite Plate With a Hole Under Uniform Heat Flux
Keyword(s):
A general solution of the mixed boundary value problem with displacements and external forces given on the boundary is obtained for an infinite plate with a hole subjected to uniform heat flux. Complex stress functions, a rational mapping function, and the dislocation method are used for the analysis. The stress function is obtained in a closed form and the first derivative is given by such a form that does not contain the integral term. The mapping function is represented in the form of a sum of fractional expressions. A problem is solved for a crack initiating from a point of a circular hole on which the displacement is rigidly stiffened. Stress distributions and stress intensity factors are calculated.
1968 ◽
Vol 34
(261)
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pp. 801-810
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1989 ◽
Vol 12
(2)
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pp. 71-81
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2018 ◽
Vol 67
(6)
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pp. 639-645
2021 ◽
Vol 208-209
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pp. 154-166
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1976 ◽
Vol 19
(5)
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pp. 397-401
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2016 ◽
Vol 82
(834)
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pp. 15-00589-15-00589
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